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AMC 12 2011a Problem 18

  • Paper

Suppose that ∣x+y∣+∣x−y∣=2\left|x+y\right|+\left|x-y\right|=2. What is the maximum possible value of x2−6x+y2x^2-6x+y^2?

\textbf{(A)}\ 5 \textbf{(B)}\ 6 \textbf{(C)}\ 7 \textbf{(D)}\ 8 \textbf{(E)}\ 9

Dataset text AMC 12 2000 to 2025. Quoted with source.

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D

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